If ${{{{\sin }^1}x} \over a} = {{{{\cos }^{ - 1}}x} \over b} = {{{{\tan }^{ - 1}}y} \over c}$; $0 < x < 1$, then the value of $\cos \left( {{{\pi c} \over {a + b}}} \right)$ is :
Previous 10 Questions — JEE Main 2021 (26 February Morning Shift)
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The value of $\left| {\matrix{ {(a + 1)(a + 2)} & {a + 2} & 1 \cr {(a + 2)(a + 3)} & {a + 3} & 1 …
Topic: JEE Main 2021 (26 February Morning Shift)
In the circle given below, let OA = 1 unit, OB = 13 unit and PQ $ \bot $ OB. Then, the area of the triangle PQB (in squ…
Topic: JEE Main 2021 (26 February Morning Shift)
The intersection of three lines x - y = 0, x + 2y = 3 and 2x + y = 6 is a
Topic: JEE Main 2021 (26 February Morning Shift)
The value of $\sum\limits_{n = 1}^{100} {\int\limits_{n - 1}^n {{e^{x - [x]}}dx} } $, where [ x ] is the greatest integ…
Topic: JEE Main 2021 (26 February Morning Shift)
Let R = {(P, Q) | P and Q are at the same distance from the origin} be a relation, then the equivalence class of (1, $-…
Topic: JEE Main 2021 (26 February Morning Shift)
The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only is…
Topic: JEE Main 2021 (26 February Morning Shift)
The value of $\int\limits_{ - \pi /2}^{\pi /2} {{{{{\cos }^2}x} \over {1 + {3^x}}}} dx$ is :
Topic: JEE Main 2021 (26 February Morning Shift)
Let A be a symmetric matrix of order 2 with integer entries. If the sum of the diagonal elements of A2 is 1, then the p…
Topic: JEE Main 2021 (26 February Morning Shift)
The value of $\mathop {\lim }\limits_{h \to 0} 2\left\{ {{{\sqrt 3 \sin \left( {{\pi \over 6} + h} \right) - \cos \lef…
Topic: JEE Main 2021 (26 February Morning Shift)
The maximum value of the term independent of 't' in the expansion of ${\left( {t{x^{{1 \over 5}}} + {{{{(1 - x)}^{{1 \…
Topic: JEE Main 2021 (26 February Morning Shift)
Next 10 Questions — JEE Main 2021 (26 February Morning Shift)
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The maximum slope of the curve $y = {1 \over 2}{x^4} - 5{x^3} + 18{x^2} - 19x$ occurs at the point :
Topic: JEE Main 2021 (26 February Morning Shift)
The rate of growth of bacteria in a culture is proportional to the number of bacteria present and the bacteria count is…
Topic: JEE Main 2021 (26 February Morning Shift)
In an increasing geometric series, the sum of the second and the sixth term is ${{25} \over 2}$ and the product of the …
Topic: JEE Main 2021 (26 February Morning Shift)
Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4. Then $\mathop {\lim }\limits_{x \to a} {{xf…
Topic: JEE Main 2021 (26 February Morning Shift)
